Given:
Initial number of bacteria = 3000
With a growth constant (k) of 2.8 per hour.
To find:
The number of hours it will take to be 15,000 bacteria.
Solution:
Let P(t) be the number of bacteria after t number of hours.
The exponential growth model (continuously) is:
Where, 
is the initial value, k is the growth constant and t is the number of years.
Putting 
in the above formula, we get
Taking ln on both sides, we get
![[\because \ln e^x=x]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Cln%20e%5Ex%3Dx%5D)
Therefore, the number of bacteria will be 15,000 after 0.575 hours.
Answer:
B. (x + 3) (x + 27)
Step-by-step explanation:
<em><u>To factor the expression, you must split the middle term (18x) into two terms that can be added to get 18, and multiplied to get 81:</u></em>
<em><u /></em>
<em><u>Group:</u></em>
<em><u /></em>
<em><u>Take out GCF (Greates Common Factor):</u></em>
x(x + 3) 27(x + 3)
(x + 27) (x + 3)
Put the values of x to the equations of the functions:
1. f(9) → x = 9; f(x) = -3x + 10
f(9) = -3(9) + 10 = -27 + 10 = -17
2. f(-2) → x = -2; f(x) = 4x - 1
f(-2) = 4(-2) - 1 = -8 - 1 = -9
3. f(-5) → x = -5; f(x) = -2x + 8
f(-5) = -2(-5) + 8 = 10 + 8 = 18
Answer:
Step-by-step explanation: do you have any choices
Answer:
B
Step-by-step explanation:
slope of line JK= -1/11and slope of the line LM = 7/5
also is there any graph or table related to this
